Finding the Fourth Proportional to 2,564.73, 3,847.50 and 1,395.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.73 : 3,847.50 = 1,395.09 : x
2. Step 2: Convert to fraction form
   2,564.73/3,847.50 = 1,395.09/x
3. Step 3: Cross multiply
   2,564.73x = 3,847.50 × 1,395.09
4. Step 4: Simplify right side
   2,564.73x = 5,367,608.78
5. Step 5: Solve for x
   x = 5,367,608.78/2,564.73
6. Step 6: Final answer
   x = 2,092.86